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» Planarity of iterated line graphs
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GD
2005
Springer
14 years 3 months ago
Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
JGAA
2007
104views more  JGAA 2007»
13 years 9 months ago
Bar k-Visibility Graphs
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one c...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
SODA
2003
ACM
143views Algorithms» more  SODA 2003»
13 years 11 months ago
Matching planar maps
The subject of this paper are algorithms for measuring the similarity of patterns of line segments in the plane, a standard problem in, e.g., computer vision, geographic informati...
Helmut Alt, Alon Efrat, Günter Rote, Carola W...
GD
1997
Springer
14 years 1 months ago
Area Requirements for Drawing Hierarchically Planar Graphs
d Abstract) In this paper, we investigate area requirements for drawing s-t hierarchically planar graphs by straight-lines. Two drawing standards will be discussed: 1) each vertex ...
Xuemin Lin, Peter Eades
GD
2009
Springer
14 years 2 months ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...